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Finding the Third Proportional to 390,069 and 618,927.75

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Solution

The third proportional to 390,069 and 618,927.75 is: 982,061.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,069 : 618,927.75 = 618,927.75 : x
  2. Step 2: Convert to fraction form
    390,069/618,927.75 = 618,927.75/x
  3. Step 3: Cross multiply
    390,069x = 618,927.75 × 618,927.75
  4. Step 4: Simplify right side
    390,069x = 383,071,559,720.06
  5. Step 5: Solve for x
    x = 383,071,559,720.06/390,069
  6. Step 6: Final answer
    x = 982,061.02

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.